Clarification of how 4x * 3(x^2+1)^2 * 2x+4(x^2+1)^3 equals 4(x^2+1)^2 * (7x^2+1)

[bllove07]

Hi,
For one of my study guide answers I can't figure out how they simplified the function from one to another. Could someone provide a step by step simplification of how did they get from the first function to the second? Thanks!



^{4x * 3(x^2+1)^2 * 2x+4(x^2+1)^3 = 4(x^2+1)^2 * (7x^2+1)}

 

[tkhunny]

Hi,
For one of my study guide answers I can't figure out how they simplified the function from one to another. Could someone provide a step by step simplification of how did they get from the first function to the second? Thanks!



^{4x * 3(x^2+1)^2 * 2x+4(x^2+1)^3 = 4(x^2+1)^2 * (7x^2+1)}

Focus on \(\displaystyle \left(x^{2}+1\right)^{2}\). Find it in BOTH terms.